Answer:
Option B is correct.
the measure of ∡P is, 35.9°
Step-by-step explanation:
Using sine ratio:
\(\sin \theta = \frac{\text{Opposite side}}{\text{Hypotenuse side}}\) ....[1]
As per the statement:
In the given diagram △PQR:
Opposite side = QR = 33.8 units
Hypotenuse Side = PR = 57.6 units
Substitute in [1] we have;
\(\sin \angle P = \frac{33.8}{57.6} = 0.586805556\)
⇒\(\angle P = \sin^{-1} (0.586805556)\)
Simplify:
\(\angle P= 35.93064694\) degree
Therefore, the measure of angle P is, 35.9°
